Finding the Fourth Proportional to 10,464.78, 14,441.34 and 5,749.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.78 : 14,441.34 = 5,749.32 : x
2. Step 2: Convert to fraction form
   10,464.78/14,441.34 = 5,749.32/x
3. Step 3: Cross multiply
   10,464.78x = 14,441.34 × 5,749.32
4. Step 4: Simplify right side
   10,464.78x = 83,027,884.89
5. Step 5: Solve for x
   x = 83,027,884.89/10,464.78
6. Step 6: Final answer
   x = 7,934.03